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2 years ago

The area of the square rug is 121 square feet. what is the length of the side of the rug

Mathematics

1 answer:

hram777 [196]2 years ago

7 0

Answer:

11 feet

Step-by-step explanation:

Squares have the same length and width. So you just take the square root of teh area to find both.

√121 = 11

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A grocery store sells a bag of 5 avocados for $4. What is the unit cost of each avocado?

weeeeeb [17]

5x4 = 20
So the avocados would be $20

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Solve for x if 5^x=200

vampirchik [111]

Answer:

x ≈ 3.29

Step-by-step explanation:

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

x = $\frac{ln(200)}{ln(5)}$

Decimal Form:

x = 3.29202967 … ≈ 3.29 (Round to what the question asks, in this case, I rounded to 2 decimal places)

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Which of the following expressions are equivalent to -5.1/4.3

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1.186

Step-by-step explanation:

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3 years ago

If f(x)= 9+3x, find f(-2)

tamaranim1 [39]

Answer:

f(-2) =3

Step-by-step explanation:

f(x) = 9+3x

Let x=-2

f(-2) = 9+3(-2)

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3 years ago

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The sum of the first two terms of an infinite GP is 6 and each term is 5 times the sum of the succeeding termsthen the second te

kozerog [31]

Answer:

$\dfrac{6}{7}$ .

Step-by-step explanation:

It is given that the sum of first two terms of an infinite GP is 6.

nth term of a GP is

$a_n=ar^{n-1}$

$a+ar=6$ ...(1)

Each term is 5 times the sum of the succeeding terms.

$a_n=5(a_{n+1}+a_{n+2}+...+\infty)$

$ar^{n-1}=5(ar^n+ar^{n+1}+...+\infty)$

$ar^{n-1}=5ar^n(1+r+r^2+...+\infty)$

Divide both sides by a.

$r^{n-1}=5r^n(\dfrac{1}{1-r})$ $[\text{Sum of infinite GP}=\dfrac{a}{1-r}]$

$\dfrac{r^n}{r}=\dfrac{5r^n}{1-r}$

$\dfrac{1}{r}=\dfrac{5}{1-r}$

$1-r=5r$

$1=6r$

$\dfrac{1}{6}=r$

The common ratio is 1/6.

Put r=1/6 in (1).

$a+a(\dfrac{1}{6})=6$

$6a+a=36$

$7a=36$

$a=\dfrac{36}{7}$

Second term $ar=\dfrac{36}{7}\times \dfrac{1}{6}=\dfrac{6}{7}$

Therefore, the second term is $\dfrac{6}{7}$ .

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2 years ago